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Finding the Fourth Proportional to 1,766.21, 2,649.47 and 1,742.21

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Solution

The fourth proportional to 1,766.21, 2,649.47 and 1,742.21 is: 2,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.21 : 2,649.47 = 1,742.21 : x
  2. Step 2: Convert to fraction form
    1,766.21/2,649.47 = 1,742.21/x
  3. Step 3: Cross multiply
    1,766.21x = 2,649.47 × 1,742.21
  4. Step 4: Simplify right side
    1,766.21x = 4,615,933.13
  5. Step 5: Solve for x
    x = 4,615,933.13/1,766.21
  6. Step 6: Final answer
    x = 2,613.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.